Respuesta :

Solution:

Simplify the inequality and solve.

  • 20 < k + 19
  • => 20 - 19 < k
  • => 1 < k

The simplified inequality is 1 < k.

[tex] \sf20 < k + 19[/tex]

Move the variable to the left-hand side and change its sign

[tex] \sf20 - k < 19[/tex]

Move the constant to the right-hand side and change its sign

[tex] \sf \: - k < 19 - 20[/tex]

Calculate the difference

[tex] \sf \: - k < - 1[/tex]

Change the signs on both sides of the inequality and flip the inequality sign

[tex] \boxed{ \tt \: k > 1}[/tex]

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